Which pair of lines are parallel? Select all that apply.

A. y = 3 − 2 x y = 2 x − 3 y=3-2xy=2 x-3
B. y = 2 x − 1 y − 2 x = 8 y=2x-1 y-2 x=8
C. y − 4 x = 6 y + 4 x = − 6 y-4x=6y+4x=-6
D. y = − 3 x + 1 y + 4 x = x − 1

A.

y
=
3

2
x

y
=
2
x

3
B.
y
=
2
x

1

y

2
x
=
8
C.
y

4
x
=
6

y
+
4
x
=

6
D.
y
=

3
x
+
1

y
+
4
x
=
x

1

Which of the following pair of equations are parallel? Choose all that apply.

x = -6 and x = 9
x = -6 and x = 9

y = 1/3x - 5 and 3x + y = 5
y = 1/3x - 5 and 3x + y = 5

y = 5/4x - 5 and 5x + 4y = -2
y = 5/4x - 5 and 5x + 4y = -2

2x - 3y = 9 and 4x - 6y = 12

To determine which pair of lines are parallel, we need to look at their slopes.

The slope-intercept form of a linear equation is y = mx + b, where m represents the slope. Two lines are parallel if and only if their slopes are the same.

Let's find the slopes of the given lines:

A. y = 3 - 2x and y = 2x - 3
Both equations are already in slope-intercept form.
The slope of the first line is -2, and the slope of the second line is 2.

B. y = 2x - 1 and y - 2x = 8
To rewrite the second equation in slope-intercept form, we need to isolate y.
y - 2x = 8
y = 2x + 8
The slope of the first line is 2, and the slope of the second line is also 2.

C. y - 4x= 6 and y + 4x = -6
To rewrite both equations in slope-intercept form, we need to isolate y.
For the first equation:
y - 4x = 6
y = 4x + 6
And for the second equation:
y + 4x = -6
y = -4x - 6
The slope of the first line is 4, and the slope of the second line is -4.

D. y = -3x + 1 and y + 4x = x - 1
To rewrite the second equation in slope-intercept form, we need to isolate y.
y + 4x = x - 1
y = -4x + x - 1
y = -3x - 1
The slope of the first line is -3, and the slope of the second line is -3.

Based on these calculations, the pair of lines that are parallel is:
B. y = 2x - 1 and y - 2x = 8

you can only choose 2

so is it A and D

thx oobleck and Reiny im sorry i didn't even notice that it did that and i looked at it and was like omg.

looking at

A. y = 3 − 2 x y = 2 x − 3 y=3-2xy=2 x-3
I can't make any sense out of this. Are there supposed to be two equations?
I see four = signs, as well as a term -2xy, which would result in curved lines.

Please use commas to separate your lines

Remember for y = mx + b, the m is your slope.
To be parallel the lines have to have the same slope

Probably botched copy/paste for

A. y = 3 − 2 x, y = 2 x − 3, y=3-2x, y=2 x-3
Some dorks duplicate their text for some reason.
So, since it appears to be just
y=3-2x or, y = -2x+3
y=2x-3
The slopes are -2 and +2, so the lines are not parallel.
Now do the others in like wise.

Recall that the "slope-intercept" form of a line is called that for a reason!

the choices really are

A. y=3-2x, y=2x-3
B. y=2x-1, y-2x=8
C. y-4x=6, y+4x=-6
D. y=-3x+1, y+4x=x-1
for some reason my computer is messing up and it added all that stuff in the first one.🤕